My club has five cultural groups. They are literary, dramatic, musical, dancing and painting groups. The literary group meets every other day, the dramatic every third day, the musical every fourth day, the dancing every fifth day and painting every sixth day. The five groups met on the new years day of 1975 and starting from that day they met regularly according to schedule. Now, can you tell how many times did all five meet on one and the same day in the first quarter? The new years day excluded. Also, were there any days when none of the groups met in the first quarter, and how many?